Pith Number

pith:DOWJDTSL

pith:2015:DOWJDTSLUAMK666X35IOQETBPQ

not attested not anchored not stored refs pending

Upper Bounds on the Relative Entropy and R\'enyi Divergence as a Function of Total Variation Distance for Finite Alphabets

Igal Sason, Sergio Verdu

arxiv:1503.03417 v4 · 2015-03-11 · cs.IT · math.IT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOWJDTSLUAMK666X35IOQETBPQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:29:54.513363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bac91ce4ba018af7bd7df50e812617c191369e88d87c8539e9351c5650a3250

Aliases

arxiv: 1503.03417 · arxiv_version: 1503.03417v4 · doi: 10.48550/arxiv.1503.03417 · pith_short_12: DOWJDTSLUAMK · pith_short_16: DOWJDTSLUAMK666X · pith_short_8: DOWJDTSL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DOWJDTSLUAMK666X35IOQETBPQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1bac91ce4ba018af7bd7df50e812617c191369e88d87c8539e9351c5650a3250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8aa299ba0424b835f1aa3623845da6eaa5d7c91809755222325bbc8b73f5ea",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-11T16:57:07Z",
    "title_canon_sha256": "810e6c9015002e4c4f2c68f0395c7c6e7172fc55926a90f2ab4b25c4dbbb1b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03417",
    "kind": "arxiv",
    "version": 4
  }
}